Abstract

We introduce a higher-order complex source that generates elegant Laguerre–Gaussian waves with radial mode number n and angular mode number m. We derive the integral and differential representations for the elegant Laguerre–Gaussian wave that in the appropriate limit yields the corresponding elegant Laguerre-Gaussian beam. From the spectral representation of the elegant Lauguerre–Gaussian wave we determine the first three orders of nonparaxial corrections for the corresponding paraxial elegant Laguerre–Gaussian beam.

© 2004 Optical Society of America

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Equations (32)

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